Question

I need help with the answer???? Find the length of “X”

Answer 1

Given that,

To find the length of the side (x) of the given right triangle.

From the figure we get that,

hypotenuse= root(8)

we know that,

`\sin \theta=(opposite)/(hypotenuse)`

opposite side=root (8)

Substituting this we get,

`\sin 45=\frac{x}{\sqrt[]{8}}`
`\frac{1}{\sqrt[]{2}}=\frac{x}{\sqrt[]{8}}`
`x=\frac{\sqrt[]{8}}{\sqrt[]{2}}`
`x=\frac{\sqrt[]{4*2}}{\sqrt[]{2}}`
`x=\frac{2\sqrt[]{2}}{\sqrt[]{2}}`
`x=2`

Answer is: x=2.